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In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 -
In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x + 1?
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Practice Questions
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Q1
In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x + 1?
Multiply the divisor by the leading term of the dividend.
Subtract the product from the dividend.
Identify the degree of both polynomials.
Write the remainder.
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The first step in polynomial long division is to multiply the divisor by the leading term of the dividend.
Questions & Step-by-step Solutions
1 item
Q
Q: In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x + 1?
Solution:
The first step in polynomial long division is to multiply the divisor by the leading term of the dividend.
Steps: 4
Show Steps
Step 1: Identify the leading term of the dividend, which is 4x^3.
Step 2: Identify the leading term of the divisor, which is 2x.
Step 3: Divide the leading term of the dividend (4x^3) by the leading term of the divisor (2x) to find the first term of the quotient.
Step 4: Multiply the entire divisor (2x + 1) by the result from Step 3 to prepare for subtraction.
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